Quantum Thermometry with a Dissipative Quantum Rabi System
arXiv:2105.12906 · doi:10.1140/epjp/s13360-022-03524-7
Abstract
Dissipative quantum Rabi System, a finite-component system composed of a single two-level atom interacting with an optical cavity field mode, exhibits a quantum phase transition, which can be exploited to greatly enhance the estimation precision of unitary parameters (frequency and coupling strength). Here, using the quantum Langevin equation, standard mean field theory and adiabatic elimination, we investigate the quantum thermometry of a thermal bath surrounding the atom with quantum optical probes. With the increase of coupling strength between the atom and the cavity field, two kinds of singularities can be observed. One type of singularity is the exceptional point (EP) in the anti-parity-time (anti-) symmetrical cavity field. The other type of singularity is the critical point (CP) of phase transition from the normal to superradiant phase. We show that the optimal measurement precision occurs at the CP, instead of the EP. And the direct photon detection represents an excellent proxy for the optimal measurement near the CP. In the case where the thermal bath to be tested is independent of the extra thermal bath interacting with the cavity field, the estimation precision of the temperature always increases with the coupling strength. Oppositely, if the thermal bath to be tested is in equilibrium with the extra bath interacting with the cavity field, noises that suppress the information of the temperature will be introduced when increasing the coupling strength unless it is close to the CP.
arXiv comment10pages,5figures
References in corpus (36)
- Gaussian Quantum Information
- Quantum-enhanced measurements: beating the standard quantum limit
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Quantum Fisher information matrix and multiparameter estimation
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Quantum criticality as a resource for quantum estimation
- Individual quantum probes for optimal thermometry
- Critical Quantum metrology with a finite-component quantum phase transition
- Quantum parameter estimation using general single-mode Gaussian states
- Quantum parameter estimation using general single-mode Gaussian states
- Fidelity susceptibility, scaling, and universality in quantum critical phenomena
- Dynamics of Nonequilibrium Dicke Models
- Thermometry in the quantum regime: Recent theoretical progress
- Dynamic framework for criticality-enhanced quantum sensing
- Quantum Rabi Model with Trapped Ions
- Optimal quantum estimation in spin systems at criticality
- Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system
- Photonic realization of the quantum Rabi model
- Quantum critical metrology
- Quantum metrology in Lipkin-Meshkov-Glick critical systems
- Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
- Quantum Fisher information as signature of superradiant quantum phase transition
- Dynamical phase transitions as a resource for quantum enhanced metrology
- Quantum sensing close to a dissipative phase transition: symmetry breaking and criticality as metrological resources
- Global sensing and its impact for quantum many-body probes with criticality
- Langevin Approach to Quantum Optics with Molecules
- Dicke coupling by feasible local measurements at the superradiant quantum phase transition
- Quantum transition-edge detectors
- Ground-state fidelity at first-order quantum transitions
- Spectroscopy and critical quantum thermometry in the ultrastrong coupling regime
- Supersensitive quantum sensor based on criticality in an antiferromagnetic spinor condensate
- Current fidelity susceptibility and conductivity in one-dimensional lattice models with open and periodic boundary conditions
- In and out of equilibrium quantum metrology with mean-field quantum criticality
- Probing nonclassicality in an optically-driven cavity with two atomic ensembles
- Steady-State Force Sensing with Single Trapped Ion
- Enhanced Two-Parameter Phase-Space-Displacement Estimation Close to Dissipative Phase Transition
Cited by in corpus (8)
- Optimality and Noise-Resilience of Critical Quantum Sensing
- Multiparameter estimation perspective on non-Hermitian singularity-enhanced sensing
- Collective quantum enhancement in critical quantum sensing
- Critical quantum metrology in a stabilized two-photon Rabi model
- Nonreciprocal Quantum Sensing
- Dispersive Qubit Readout of Temperature
- Quantum estimation of tripartite coupling in Spin-Magnon-Mechanical Hybrid Systems
- Exceptional point in self-consistent Markovian master equations